In a certain examination, there were 100 candidates of whom 21 failed, 6 secured distinction, 12 were placed in the first division, 43 were placed in the third division and 18 in the second division. It is known that at least 75% marks are required for distinction, 40% for passing, 50% for second division and 60% for first division calculate median.

In given question, marks secured in certain examination are given. For calculating median, firstly we will arrange all marks in a frequency distribution and convert the simple frequency into cumulative frequency and then use the following formula.